Nel 1942 Traing Wang e Chuan-Chin Hsiung hanno dimostrato che esistono solo 13 configurazioni diverse del tangram che producono figure convesse
Soluzione
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 |
GLOBAL ox, oy TO origin x y GLOBAL ox, oy ox = 150+x*20 oy = 600-y*20 END TO place x y POSITION [ox+x*20, oy-y*20] END TO line x y x2 y2 PENUP place x y PENDOWN place x2 y2 END TO tri x y x2 y2 x3 y3 line x y x2 y2 place x3 y3 FILL END TO box x y x2 y2 x3 y3 x4 y4 line x y x2 y2 place x3 y3 place x4 y4 FILL END PICTURE “convex_tangram_shapes.svg” [ PENSIZE 1 HIDETURTLE PENCOLOR “WHITE” FILLCOLOR “BLACK” origin 18 2 tri 3 0 3 2 1 2 tri 1 2 1 3 2 2 tri 2 2 0 4 2 4 tri 0 4 1 5 2 4 tri 2 4 2 3 3 3 box 3 3 3 2 2 2 2 3 box 1 2 1 3 0 4 0 3 origin 19 8 tri 0 2 2 2 2 0 tri 0 4 0 5 1 4 tri 0 2 0 3 1 3 tri 0 2 1 3 2 2 tri 0 5 2 5 2 3 box 0 3 0 4 1 4 1 3 box 1 3 1 4 2 3 2 2 origin 12.5 4 tri 0 0 0 2 2 0 tri 0 2 2 2 2 0 tri 2 0 2 1 3 1 tri 2 0 3 1 4 0 tri 4 1 4 2 3 2 box 2 1 2 2 3 2 3 1 box 3 1 3 2 4 1 4 0 origin 15 7 tri 0 2 2 2 2 0 tri 0 2 2 2 2 4 tri 0 3 0 4 1 4 tri 0 5 0 6 1 5 tri 1 5 1 3 2 4 box 0 4 0 5 1 5 1 4 box 0 2 0 3 1 4 1 3 origin 11 0 tri 0 1 2 1 2 3 tri 2 1 2 3 4 3 tri 1 0 1 1 2 0 tri 1 1 3 1 2 0 tri 2 1 3 2 3 1 box 0 0 0 1 1 1 1 0 box 3 1 3 2 4 3 4 2 origin 9 3 tri 0 2 2 2 0 4 tri 0 4 2 4 2 2 tri 0 4 1 5 2 4 tri 0 1 1 1 1 0 tri 1 1 1 2 2 2 box 1 0 1 1 2 2 2 1 box 0 1 0 2 1 2 1 1 origin 11 7 tri 0 2 2 2 2 0 tri 0 4 2 4 2 6 tri 0 2 0 3 1 3 tri 0 2 1 3 2 2 tri 1 4 2 4 2 3 box 0 3 0 4 1 4 1 3 box 1 3 1 4 2 3 2 2 origin 5 0 tri 0 0 0 2 2 0 tri 0 2 2 2 2 0 tri 0 2 1 3 1 2 tri 2 0 3 1 2 2 tri 2 0 3 0 3 1 box 1 2 1 3 2 3 2 2 box 2 2 2 3 3 2 3 1 origin 4 4 tri 0 2 2 2 2 0 tri 0 2 2 4 2 2 tri 2 4 2 3 3 3 tri 2 1 2 2 3 2 tri 3 1 3 3 4 2 box 2 2 2 3 3 3 3 2 box 2 0 2 1 3 2 3 1 origin 5 10 tri 0 0 0 1 1 0 tri 0 1 3 1 1 0 tri 0 2 1 3 1 2 tri 1 1 1 3 3 1 tri 1 3 3 3 3 1 box 0 1 0 2 1 2 1 1 box 1 0 2 1 3 1 2 0 origin 0 0 tri 0 1 1 2 1 1 tri 1 0 1 2 3 0 tri 1 2 3 2 3 0 tri 1 2 2 3 3 2 tri 3 0 3 1 4 0 box 0 0 0 1 1 1 1 0 box 3 1 3 2 4 1 4 0 origin 0 3 tri 0 0 0 2 1 1 tri 0 3 1 3 1 2 tri 0 4 1 5 1 4 tri 1 3 1 5 3 3 tri 1 1 1 3 3 3 box 0 2 0 3 1 2 1 1 box 0 3 0 4 1 4 1 3 origin 0 9 tri 0 0 0 2 2 2 tri 0 2 0 4 2 2 tri 2 2 1 3 3 3 tri 0 4 1 4 1 3 tri 2 3 2 4 3 4 box 1 3 1 4 2 4 2 3 box 2 3 3 4 4 4 3 3 ] |
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